Electronic Journal of Differential Equations, Vol. 2024 (2024), No. 70, pp. 1-26.

Title: Practical stability of stochastic differential delay equations driven  by G-Brownian motion with general decay rate

Authors: Tomas Caraballo (Univ. de Sevilla, Spain)
         Faten Ezzine (Univ. of Sfax, Tunisia)
         Mohamed Ali Hammami (Univ. of Sfax, Tunisia)

Abstract: 
This article is concerned with the quasi sure practical stability of 
nonlinear stochastic differential delay equations driven by 
G-Brownian motion (G-SDDEs) with a general decay rate.  
Sufficient conditions are established by constructing  appropriate 
G-Lyapunov functionals. Moreover, we provide some numerical examples 
to demonstrate the effectiveness of the obtained results.


Submitted March 29, 2024. Published November 11, 2024.
Math Subject Classifications: 93E03, 60H10.
Key Words: G-Stochastic delay systems; quasi sure practical stability, 
    decay function, G-Brownian motion, G-Lyapunov functional, G-Ito formula.